Damping Force Effect with Respect to Time and Displacement of Two Identical Spheres using Discrete Element Method
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International Journal of Engineering Trends and Technology (IJETT) |  |
| © 2018 by IJETT Journal | ||
| Volume-64 Number-1 |
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| Year of Publication : 2018 | ||
| Authors : Oleena S H |
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| DOI : 10.14445/22315381/IJETT-V64P208 |
Citation
MLA Style: Oleena S H "Damping Force Effect with Respect to Time and Displacement of Two Identical Spheres using Discrete Element Method" International Journal of Engineering Trends and Technology 64.1 (2018): 43-47.
APA Style:Oleena S H (2018). Damping Force Effect with Respect to Time and Displacement of Two Identical Spheres using Discrete Element Method. International Journal of Engineering Trends and Technology, 64(1), 43-47.
Abstract
The objective of this contribution is to present a numerical simulation method to model the collision of particles in a plane using object-oriented techniques. The method chosen is the Lagrangian time-driven method and it uses the position, and the velocity of particles as independent variables. These are obtained by time integration of the two-dimensional dynamics equations which were derived from the classical Newtonian mechanics approach based on the second law of Newton for the translational motion of each particle in the granular material. This includes keeping track of all forces acting on each particle at every time-step. Contact forces depend on the overlap geometry, material properties and dynamics of particles and include normal components of repulsion force. The back-ground version of DEM and time integration algorithm are developed and implemented into C++ code. The implementation of time-integration algorithm is verified by simple test concerning particle-particle interaction for which analytical expression exist. In this paper Damping force due to particle – particle contact at different time step and displacement are investigated.
Reference
[1] Cundall P. A. and O. D. L. Strack, (1979) "A discrete numerical model for granular assemblies", Geotechnique 29, 47.
[2] Cundall, P.A., (1971). A computer model for simulating progressive large-scale movements in blocky rock systems. Proceedings of Symposium International Society of Rock Mechanics 2, 129.
[3] Dippel, S., Batrouni, G.G., Wolf, D.E., (1996). Collision-induced friction in the motion of a single particle on a bumpy inclined line. Physical Review E 54, 6845.
[4] Kantor, A. L.; Long, L. N.; Micci, M. M. (2000) Molecular dynamics simulation of dissociation kinetics. In: AIAA Aersospace Science Meeting, AIAA Paper 2000-0213.
[5] Luding, S., (1997). Stress distribution in static two-dimensional granular model media in the absence of friction. Physical Review E 55, 4720.
[6] Moakher, M., Shinbrot, T., Muzzio, F.J., (2000). Experimentally validated computations of flow, mixing and segregation of non-cohesive grains in 3D tumbling blenders. Powder Technology 109, 58.
[7] Ristow, G.H., (1996). Dynamics of granular material in a rotating drum. Euro physics Letters 34, 263.
[8] Ristow, G.H., Herrmann, H.J., (1994). Density patterns in two-dimensional hoppers. Physical Review E 50, R5.
[9] Shinbrot, T., Alexander, A., Moakher, M., Muzzio, F.J., 1999. Chaotic granular mixing. Chaos 9, 611.
[10] Thompson, P.S., Grest, G.S., (1991). Granular flow: friction and the dilatancy transition. Physical Review Letters 67, 1751.
[11] Wightman, C., Moakher, M., Muzzio, F.J., Walton, O.R., (1998). Simulation of flow and mixing of particles in a rotating and rocking cylinder. A.I.Ch.E.Journal 44, 1226.
[12] Jaeger H. M. and S. R. Nagel, (1995) “The physics of the granular state”, Science 255, 1523.
[13] Behringer R. P., (1995) “Mixed Predictions”, Nature 374, 15.
[14] Behringer R. P., (1993) “The Dynamics of flowing sand”, Nonlinear Science Today.
[15] Bideau D. and A. Hansen, Eds., (1993) “Disorder and Granular Media”, Random Materials and Processes Series, Elsevier Science Publishers B. V., Amsterdam, North-Holland.
[16] Jaeger H. M., S. R. Nagel and R. P. Behringer., (1996b). “Granular solids, liquids and glasses”, Rev. Mod. Phys. 68, 1259.
[17] Jaeger H. M., S. R. Nagel, and R. P. Behringer, (1996a) "The Physics of Granular Materials", Physics Today 4, 32.
[18] Jaeger, H. M., J. B. Knight, C. H. Liu, and S. R. Nagel, (1994) “What is shaking in the sand box”, Mater. Res. Bull. 19, 25.
[19] Mehta, A., Ed., “Granular Matter: An Interdisciplinary Approach”, Springer, New York, 1994.
[20] Hayakawa H., H. Nishimori, S. Sasa, and Y. H. Taguchi, (1995) “Dynamics of granular matter”, Jpn. J. Appl. Phys. 34, 397.
[21] Coulomb C. (1773), in Memoir de Mathematique et de Phy-sique 7, Academie des.
[22] Faraday M. (1831), “On a peculiar class of acoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfaces”, Phil. Trans. R. Soc. London 52, 299
[23] Reynolds (1885)., on the dilatancy of media composed of rigid particles in contact with-experimental illustrations", Philos. Mag. 20, 469
Keywords
DEM simulation, Granular materials, Elastic effect